3 papers
math.NT2021
The Lichtenbaum conjecture for abelian extension of imaginary quadratic fields
Chaochao Sun
In this paper, we prove the cohomological Lichtenbaum conjecture of abelian extensions of imaginary quadratic fields up to a finite set of bad primes.
math.NT2019
The Bloch groups and special values of Dedekind zeta functions
Chaochao Sun, Long Zhang
In this paper, we compare the two definitions of Bloch group, and survey the elements in Bloch group. We confirm the Lichtenbaum conjecture on the field under the assumpti…
math.KT2013
ON cyclotomic elements and cyclotomic subgroups in K_{2} of a field
Kejian Xu, Chaochao Sun
The problem of expressing an element of K_2(F) in a more explicit form gives rise to many works. To avoid a restrictive condition in a work of Tate, Browkin considered cyclotomic e…